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arXiv · 2104.01218

Saturation bounds for smooth varieties

Lawrence Ein·Huy Tai Ha·Robert Lazarsfeld
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Abstract

We prove bounds on the saturation degrees of homogeneous ideals (and their powers) defining smooth complex projective varieties. For example, we show that a classical statement due to Macualay for zero-dimensional complete intersection ideals holds for any smooth variety. For curves, we bound the saturation degree of powers in terms of the regularity.

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Lawrence Ein, Huy Tai Ha, Robert Lazarsfeld. 2021-04-02. Saturation bounds for smooth varieties. https://doi.org/10.2140/ant.2022.16.1531

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